The generalized product partition of unity for the meshless methods

DOI10.1016/j.jcp.2009.10.047zbMath1180.65152OpenAlexW1997528587MaRDI QIDQ846585

Tak Hong Won, Woo Jeong Jae, Hae-Soo Oh

Publication date: 9 February 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.10.047

zbMATH Keywords

meshless methodspartition of unity function with flat-topconvolution partition of unity functionspatchwise reproducing polynomial particle method (RPPM)product partition of unity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Enriched meshfree method for an accurate numerical solution of the Motz problem ⋮ Meshfree particle methods in the framework of boundary element methods for the Helmholtz equation ⋮ Augmented numerical manifold method with implementation of flat-top partition of unity ⋮ Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis ⋮ Effects of the smoothness of partitions of unity on the quality of representation of singular enrichments for GFEM/XFEM stress approximations around brittle cracks ⋮ Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners ⋮ Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems ⋮ Reproducing polynomial particle methods for boundary integral equations ⋮ Generalizations of the finite element method ⋮ Meshfree particle methods for thin plates ⋮ Proof of linear independence of flat-top PU-based high-order approximation ⋮ A partition of unity method with penalty for fourth order problems ⋮ Mesh based construction of flat-top partition of unity functions ⋮ Almost everywhere partition of unity to deal with essential boundary conditions in meshless methods ⋮ A non-convex partition of unity and stress analysis of a cracked elastic medium

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